Finding the Fourth Proportional to 135.16, 201.64 and 122.20
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Solution
The fourth proportional to 135.16, 201.64 and 122.20 is: 182.31
Step by Step Solution
- Step 1: Write the proportion equation
135.16 : 201.64 = 122.20 : x - Step 2: Convert to fraction form
135.16/201.64 = 122.20/x - Step 3: Cross multiply
135.16x = 201.64 × 122.20 - Step 4: Simplify right side
135.16x = 24,640.41 - Step 5: Solve for x
x = 24,640.41/135.16 - Step 6: Final answer
x = 182.31
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.